152513320 has 32 divisors (see below), whose sum is σ = 354990600. Its totient is φ = 58901248.

The previous prime is 152513311. The next prime is 152513329. The reversal of 152513320 is 23315251.

It is an interprime number because it is at equal distance from previous prime (152513311) and next prime (152513329).

It can be written as a sum of positive squares in 4 ways, for example, as 148986436 + 3526884 = 12206^2 + 1878^2 .

It is a super-3 number, since 3×152513320³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152513291 and 152513300.

It is not an unprimeable number, because it can be changed into a prime (152513329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64579 + ... + 66898.

Almost surely, 2^152513320 is an apocalyptic number.

152513320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152513320 is an abundant number, since it is smaller than the sum of its proper divisors (202477280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152513320 is a wasteful number, since it uses less digits than its factorization.

152513320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131517 (or 131513 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 152513320 is about 12349.6283344885. The cubic root of 152513320 is about 534.2804196118.

Adding to 152513320 its reverse (23315251), we get a palindrome (175828571).

The spelling of 152513320 in words is "one hundred fifty-two million, five hundred thirteen thousand, three hundred twenty".